# -*- coding: utf-8 -*-
#
-# Copyright © 2014, 2015, 2017, 2018 Simon Forman
+# Copyright © 2014-2020 Simon Forman
#
-# This file is part of Joypy
+# This file is part of Thun
#
-# Joypy is free software: you can redistribute it and/or modify
+# Thun is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
-# Joypy is distributed in the hope that it will be useful,
+# Thun is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
-# along with Joypy. If not see <http://www.gnu.org/licenses/>.
+# along with Thun. If not see <http://www.gnu.org/licenses/>.
#
'''
This module contains the Joy function infrastructure and a library of
-functions. It's main export is a Python function initialize() that
+functions. Its main export is a Python function initialize() that
returns a dictionary of Joy functions suitable for use with the joy()
function.
'''
-from inspect import getdoc
+from pkg_resources import resource_stream
+from io import TextIOWrapper
+from inspect import getdoc, getmembers, isfunction
+from functools import wraps
+from itertools import count
import operator, math
+from . import __name__ as _joy_package_name
from .parser import text_to_expression, Symbol
-from .utils.stack import list_to_stack, iter_stack, pick, pushback
+from .utils import generated_library as genlib
+from .utils.errors import (
+ NotAListError,
+ NotAnIntError,
+ StackUnderflowError,
+ )
+from .utils.stack import (
+ concat,
+ expression_to_string,
+ iter_stack,
+ list_to_stack,
+ pick,
+ )
-_dictionary = {}
-
+def default_defs(dictionary):
+ def_stream = TextIOWrapper(
+ resource_stream(_joy_package_name, 'defs.txt'),
+ encoding='UTF_8',
+ )
+ Def.load_definitions(def_stream, dictionary)
-def inscribe(function):
- '''A decorator to inscribe functions in to the default dictionary.'''
- _dictionary[function.name] = function
- return function
+HELP_TEMPLATE = '''\
-def initialize():
- '''Return a dictionary of Joy functions for use with joy().'''
- return _dictionary.copy()
+==== Help on %s ====
+%s
-ALIASES = (
- ('add', ['+']),
- ('and', ['&']),
- ('bool', ['truthy']),
- ('mul', ['*']),
- ('truediv', ['/']),
- ('mod', ['%', 'rem', 'remainder', 'modulus']),
- ('eq', ['=']),
- ('ge', ['>=']),
- ('getitem', ['pick', 'at']),
- ('gt', ['>']),
- ('le', ['<=']),
- ('lshift', ['<<']),
- ('lt', ['<']),
- ('ne', ['<>', '!=']),
- ('rshift', ['>>']),
- ('sub', ['-']),
- ('xor', ['^']),
- ('succ', ['++']),
- ('pred', ['--']),
- ('rolldown', ['roll<']),
- ('rollup', ['roll>']),
- ('id', ['•']),
- )
-
-
-def add_aliases(D, A=ALIASES):
- '''
- Given a dict and a iterable of (name, [alias, ...]) pairs, create
- additional entries in the dict mapping each alias to the named function
- if it's in the dict. Aliases for functions not in the dict are ignored.
- '''
- for name, aliases in A:
- try:
- F = D[name]
- except KeyError:
- continue
- for alias in aliases:
- D[alias] = F
-
-
-definitions = ('''\
-second == rest first
-third == rest rest first
-of == swap at
-product == 1 swap [*] step
-swons == swap cons
-swoncat == swap concat
-flatten == [] swap [concat] step
-unit == [] cons
-quoted == [unit] dip
-unquoted == [i] dip
-enstacken == stack [clear] dip
-disenstacken == ? [uncons ?] loop pop
-? == dup truthy
-dinfrirst == dip infra first
-nullary == [stack] dinfrirst
-unary == [stack [pop] dip] dinfrirst
-binary == [stack [popop] dip] dinfrirst
-ternary == [stack [popop pop] dip] dinfrirst
-pam == [i] map
-run == [] swap infra
-sqr == dup mul
-size == 0 swap [pop ++] step
-cleave == [i] app2 [popd] dip
-average == [sum 1.0 *] [size] cleave /
-gcd == 1 [tuck modulus dup 0 >] loop pop
-least_fraction == dup [gcd] infra [div] concat map
-*fraction == [uncons] dip uncons [swap] dip concat [*] infra [*] dip cons
-*fraction0 == concat [[swap] dip * [*] dip] infra
-down_to_zero == [0 >] [dup --] while
-range_to_zero == unit [down_to_zero] infra
-anamorphism == [pop []] swap [dip swons] genrec
-range == [0 <=] [1 - dup] anamorphism
-while == swap [nullary] cons dup dipd concat loop
-dudipd == dup dipd
-primrec == [i] genrec
-step_zero == 0 roll> step
+---- end (%s)
'''
-##Zipper
-##z-down == [] swap uncons swap
-##z-up == swons swap shunt
-##z-right == [swons] cons dip uncons swap
-##z-left == swons [uncons swap] dip swap
-##Quadratic Formula
-##divisor == popop 2 *
-##minusb == pop neg
-##radical == swap dup * rollup * 4 * - sqrt
-##root1 == + swap /
-##root2 == - swap /
-##q0 == [[divisor] [minusb] [radical]] pam
-##q1 == [[root1] [root2]] pam
-##quadratic == [q0] ternary i [q1] ternary
+# This is the main dict we're building.
+_dictionary = {}
-# Project Euler
-##'''\
-##PE1.1 == + dup [+] dip
-##PE1.2 == dup [3 & PE1.1] dip 2 >>
-##PE1.3 == 14811 swap [PE1.2] times pop
-##PE1 == 0 0 66 [7 PE1.3] times 4 PE1.3 pop
-##'''
-#PE1.2 == [PE1.1] step
-#PE1 == 0 0 66 [[3 2 1 3 1 2 3] PE1.2] times [3 2 1 3] PE1.2 pop
-)
+def inscribe(function, d=_dictionary):
+ '''A decorator to inscribe functions into the default dictionary.'''
+ d[function.name] = function
+ return function
-class FunctionWrapper(object):
- '''
- Allow functions to have a nice repr().
- At some point it's likely this class and its subclasses would gain
- machinery to support type checking and inference.
- '''
+def initialize():
+ '''Return a dictionary of Joy functions for use with joy().'''
+ return _dictionary.copy()
- def __init__(self, f):
- self.f = f
- self.name = f.__name__.rstrip('_') # Don't shadow builtins.
- self.__doc__ = f.__doc__ or str(f)
- def __call__(self, stack, expression, dictionary):
+ALIASES = (
+ ('add', ['+']),
+ ('and', ['&']),
+ ('bool', ['truthy']),
+ ('mul', ['*']),
+ ('floordiv', ['/floor', '//', '/', 'div']),
+ ('mod', ['%', 'rem', 'remainder', 'modulus']),
+ ('eq', ['=']),
+ ('ge', ['>=']),
+ ('getitem', ['pick', 'at']),
+ ('gt', ['>']),
+ ('le', ['<=']),
+ ('lshift', ['<<']),
+ ('lt', ['<']),
+ ('ne', ['<>', '!=']),
+ ('rshift', ['>>']),
+ ('sub', ['-']),
+ ('xor', ['^']),
+ ('succ', ['++']),
+ ('pred', ['--']),
+ ('rolldown', ['roll<']),
+ ('rollup', ['roll>']),
+ ('eh', ['?']),
+ ('id', [u'•']),
+ )
+
+
+def add_aliases(D, A):
'''
- Functions in general receive and return all three.
+ Given a dict and a iterable of (name, [alias, ...]) pairs, create
+ additional entries in the dict mapping each alias to the named function
+ if it's in the dict. Aliases for functions not in the dict are ignored.
'''
- return self.f(stack, expression, dictionary)
-
- def __repr__(self):
- return self.name
-
-
-class SimpleFunctionWrapper(FunctionWrapper):
- '''
- Wrap functions that take and return just a stack.
- '''
-
- def __call__(self, stack, expression, dictionary):
- return self.f(stack), expression, dictionary
-
-
-class BinaryBuiltinWrapper(FunctionWrapper):
- '''
- Wrap functions that take two arguments and return a single result.
- '''
-
- def __call__(self, stack, expression, dictionary):
- (a, (b, stack)) = stack
- result = self.f(b, a)
- return (result, stack), expression, dictionary
-
-
-class UnaryBuiltinWrapper(FunctionWrapper):
- '''
- Wrap functions that take one argument and return a single result.
- '''
+ for name, aliases in A:
+ try:
+ F = D[name]
+ except KeyError:
+ continue
+ for alias in aliases:
+ D[alias] = F
- def __call__(self, stack, expression, dictionary):
- (a, stack) = stack
- result = self.f(a)
- return (result, stack), expression, dictionary
+def FunctionWrapper(f):
+ '''Set name attribute.'''
+ if not f.__doc__:
+ raise ValueError('Function %s must have doc string.' % f.__name__)
+ f.name = f.__name__.rstrip('_') # Don't shadow builtins.
+ return f
-class DefinitionWrapper(FunctionWrapper):
- '''
- Provide implementation of defined functions, and some helper methods.
- '''
- def __init__(self, name, body_text, doc=None):
- self.name = self.__name__ = name
- self.body = text_to_expression(body_text)
- self._body = tuple(iter_stack(self.body))
- self.__doc__ = doc or body_text
+def SimpleFunctionWrapper(f):
+ '''
+ Wrap functions that take and return just a stack.
+ '''
+ @FunctionWrapper
+ @wraps(f)
+ def inner(stack, expression, dictionary):
+ return f(stack), expression, dictionary
+ return inner
- def __call__(self, stack, expression, dictionary):
- expression = list_to_stack(self._body, expression)
- return stack, expression, dictionary
- @classmethod
- def parse_definition(class_, defi):
+def BinaryBuiltinWrapper(f):
'''
- Given some text describing a Joy function definition parse it and
- return a DefinitionWrapper.
+ Wrap functions that take two arguments and return a single result.
'''
- name, proper, body_text = (n.strip() for n in defi.partition('=='))
- if not proper:
- raise ValueError('Definition %r failed' % (defi,))
- return class_(name, body_text)
-
- @classmethod
- def add_definitions(class_, defs, dictionary):
- for definition in _text_to_defs(defs):
- class_.add_def(definition, dictionary)
+ @FunctionWrapper
+ @wraps(f)
+ def inner(stack, expression, dictionary):
+ try:
+ (a, (b, stack)) = stack
+ except ValueError:
+ raise StackUnderflowError('Not enough values on stack.')
+ # Boolean predicates like "or" fail here. :(
+## if ( not isinstance(a, int)
+## or not isinstance(b, int)
+## or isinstance(a, bool) # Because bools are ints in Python.
+## or isinstance(b, bool)
+## ):
+## raise NotAnIntError
+ result = f(b, a)
+ return (result, stack), expression, dictionary
+ return inner
+
+
+def UnaryBuiltinWrapper(f):
+ '''
+ Wrap functions that take one argument and return a single result.
+ '''
+ @FunctionWrapper
+ @wraps(f)
+ def inner(stack, expression, dictionary):
+ (a, stack) = stack
+ result = f(a)
+ return (result, stack), expression, dictionary
+ return inner
- @classmethod
- def add_def(class_, definition, dictionary):
- F = class_.parse_definition(definition)
- dictionary[F.name] = F
+class Def(object):
+ '''
+ Definitions created by inscribe.
+ '''
-def _text_to_defs(text):
- return filter(None, (line.strip() for line in text.splitlines()))
+ def __init__(self, name, body):
+ self.name = name
+ self.body = body
+ self._body = tuple(iter_stack(body))
+ self.__doc__ = expression_to_string(body)
+ self._compiled = None
+
+ def __call__(self, stack, expression, dictionary):
+ if self._compiled:
+ return self._compiled(stack, expression, dictionary) # pylint: disable=E1102
+ expression = list_to_stack(self._body, expression)
+ return stack, expression, dictionary
+
+ @classmethod
+ def load_definitions(class_, stream, dictionary):
+ for line in stream:
+ if line.lstrip().startswith('#'):
+ continue
+ name, body = text_to_expression(line)
+ if name not in dictionary:
+ inscribe(class_(name, body), dictionary)
+## inscribe(class_(name, body), dictionary)
#
@inscribe
-@SimpleFunctionWrapper
-def parse((text, stack)):
- '''Parse the string on the stack to a Joy expression.'''
- expression = text_to_expression(text)
- return expression, stack
+@FunctionWrapper
+def inscribe_(stack, expression, dictionary):
+ '''
+ Create a new Joy function definition in the Joy dictionary. A
+ definition is given as a quote with a name followed by a Joy
+ expression. for example:
+ [sqr dup mul] inscribe
-@inscribe
-@SimpleFunctionWrapper
-def first(((head, tail), stack)):
- '''first == uncons pop'''
- return head, stack
+ '''
+ (name, body), stack = stack
+ inscribe(Def(name, body), dictionary)
+ return stack, expression, dictionary
@inscribe
@SimpleFunctionWrapper
-def rest(((head, tail), stack)):
- '''rest == uncons popd'''
- return tail, stack
+def parse(stack):
+ '''Parse the string on the stack to a Joy expression.'''
+ text, stack = stack
+ expression = text_to_expression(text)
+ return expression, stack
+
+
+# @inscribe
+# @SimpleFunctionWrapper
+# def infer_(stack):
+# '''Attempt to infer the stack effect of a Joy expression.'''
+# E, stack = stack
+# effects = infer_expression(E)
+# e = list_to_stack([(fi, (fo, ())) for fi, fo in effects])
+# return e, stack
@inscribe
@SimpleFunctionWrapper
def getitem(stack):
- '''
- getitem == drop first
+ '''
+ ::
- Expects an integer and a quote on the stack and returns the item at the
- nth position in the quote counting from 0.
+ getitem == drop first
- [a b c d] 0 getitem
- -------------------------
- a
+ Expects an integer and a quote on the stack and returns the item at the
+ nth position in the quote counting from 0.
+ ::
- '''
- n, (Q, stack) = stack
- return pick(Q, n), stack
+ [a b c d] 0 getitem
+ -------------------------
+ a
+
+ '''
+ n, (Q, stack) = stack
+ return pick(Q, n), stack
@inscribe
@SimpleFunctionWrapper
def drop(stack):
- '''
- drop == [rest] times
+ '''
+ ::
- Expects an integer and a quote on the stack and returns the quote with
- n items removed off the top.
+ drop == [rest] times
- [a b c d] 2 drop
- ----------------------
- [c d]
+ Expects an integer and a quote on the stack and returns the quote with
+ n items removed off the top.
+ ::
- '''
- n, (Q, stack) = stack
- while n > 0:
- try:
- _, Q = Q
- except ValueError:
- raise IndexError
- n -= 1
- return Q, stack
+ [a b c d] 2 drop
+ ----------------------
+ [c d]
+
+ '''
+ n, (Q, stack) = stack
+ while n > 0:
+ try:
+ _, Q = Q
+ except ValueError:
+ raise IndexError
+ n -= 1
+ return Q, stack
@inscribe
@SimpleFunctionWrapper
def take(stack):
- '''
- Expects an integer and a quote on the stack and returns the quote with
- just the top n items in reverse order (because that's easier and you can
- use reverse if needed.)
-
- [a b c d] 2 take
- ----------------------
- [b a]
-
- '''
- n, (Q, stack) = stack
- x = ()
- while n > 0:
- try:
- item, Q = Q
- except ValueError:
- raise IndexError
- x = item, x
- n -= 1
- return x, stack
+ '''
+ Expects an integer and a quote on the stack and returns the quote with
+ just the top n items in reverse order (because that's easier and you can
+ use reverse if needed.)
+ ::
+
+ [a b c d] 2 take
+ ----------------------
+ [b a]
+
+ '''
+ n, (Q, stack) = stack
+ x = ()
+ while n > 0:
+ try:
+ item, Q = Q
+ except ValueError:
+ raise IndexError
+ x = item, x
+ n -= 1
+ return x, stack
+
+
+@inscribe
+@FunctionWrapper
+def gcd2(stack, expression, dictionary):
+ '''Compiled GCD function.'''
+ (v1, (v2, stack)) = stack
+ tos = True
+ while tos:
+ v3 = v2 % v1
+ tos = v3 > 0
+ (v1, (v2, stack)) = (v3, (v1, stack))
+ return (v2, stack), expression, dictionary
@inscribe
@SimpleFunctionWrapper
def choice(stack):
- '''
- Use a Boolean value to select one of two items.
+ '''
+ Use a Boolean value to select one of two items.
+ ::
- A B False choice
- ----------------------
- A
+ A B False choice
+ ----------------------
+ A
- A B True choice
- ---------------------
- B
+ A B True choice
+ ---------------------
+ B
- Currently Python semantics are used to evaluate the "truthiness" of the
- Boolean value (so empty string, zero, etc. are counted as false, etc.)
- '''
- (if_, (then, (else_, stack))) = stack
- return then if if_ else else_, stack
+ Currently Python semantics are used to evaluate the "truthiness" of the
+ Boolean value (so empty string, zero, etc. are counted as false, etc.)
+ '''
+ (if_, (then, (else_, stack))) = stack
+ return then if if_ else else_, stack
@inscribe
@SimpleFunctionWrapper
def select(stack):
- '''
- Use a Boolean value to select one of two items from a sequence.
+ '''
+ Use a Boolean value to select one of two items from a sequence.
+ ::
- [A B] False select
- ------------------------
- A
+ [A B] False select
+ ------------------------
+ A
- [A B] True select
- -----------------------
- B
+ [A B] True select
+ -----------------------
+ B
- The sequence can contain more than two items but not fewer.
- Currently Python semantics are used to evaluate the "truthiness" of the
- Boolean value (so empty string, zero, etc. are counted as false, etc.)
- '''
- (flag, (choices, stack)) = stack
- (else_, (then, _)) = choices
- return then if flag else else_, stack
+ The sequence can contain more than two items but not fewer.
+ Currently Python semantics are used to evaluate the "truthiness" of the
+ Boolean value (so empty string, zero, etc. are counted as false, etc.)
+ '''
+ (flag, (choices, stack)) = stack
+ (else_, (then, _)) = choices
+ return then if flag else else_, stack
@inscribe
@SimpleFunctionWrapper
def max_(S):
- '''Given a list find the maximum.'''
- tos, stack = S
- return max(iter_stack(tos)), stack
+ '''Given a list find the maximum.'''
+ tos, stack = S
+ return max(iter_stack(tos)), stack
@inscribe
@SimpleFunctionWrapper
def min_(S):
- '''Given a list find the minimum.'''
- tos, stack = S
- return min(iter_stack(tos)), stack
+ '''Given a list find the minimum.'''
+ tos, stack = S
+ return min(iter_stack(tos)), stack
@inscribe
@SimpleFunctionWrapper
def sum_(S):
- '''Given a quoted sequence of numbers return the sum.
+ '''
+ Given a quoted sequence of numbers return the sum.
+ ::
- sum == 0 swap [+] step
- '''
- tos, stack = S
- return sum(iter_stack(tos)), stack
+ sum == 0 swap [+] step
+
+ '''
+ tos, stack = S
+ return sum(iter_stack(tos)), stack
@inscribe
@SimpleFunctionWrapper
def remove(S):
- '''
- Expects an item on the stack and a quote under it and removes that item
- from the the quote. The item is only removed once.
+ '''
+ Expects an item on the stack and a quote under it and removes that item
+ from the the quote. The item is only removed once.
+ ::
- [1 2 3 1] 1 remove
- ------------------------
- [2 3 1]
+ [1 2 3 1] 1 remove
+ ------------------------
+ [2 3 1]
- '''
- (tos, (second, stack)) = S
- l = list(iter_stack(second))
- l.remove(tos)
- return list_to_stack(l), stack
+ '''
+ (tos, (second, stack)) = S
+ l = list(iter_stack(second))
+ l.remove(tos)
+ return list_to_stack(l), stack
@inscribe
@SimpleFunctionWrapper
def unique(S):
- '''Given a list remove duplicate items.'''
- tos, stack = S
- I = list(iter_stack(tos))
- list_to_stack(sorted(set(I), key=I.index))
- return list_to_stack(sorted(set(I), key=I.index)), stack
+ '''Given a list remove duplicate items.'''
+ tos, stack = S
+ I = list(iter_stack(tos))
+ return list_to_stack(sorted(set(I), key=I.index)), stack
@inscribe
@SimpleFunctionWrapper
def sort_(S):
- '''Given a list return it sorted.'''
- tos, stack = S
- return list_to_stack(sorted(iter_stack(tos))), stack
-
-
-@inscribe
-@SimpleFunctionWrapper
-def cons(S):
- '''
- The cons operator expects a list on top of the stack and the potential
- member below. The effect is to add the potential member into the
- aggregate.
- '''
- (tos, (second, stack)) = S
- return (second, tos), stack
-
-
-@inscribe
-@SimpleFunctionWrapper
-def uncons(S):
- '''
- Inverse of cons, removes an item from the top of the list on the stack
- and places it under the remaining list.
- '''
- (tos, stack) = S
- item, tos = tos
- return tos, (item, stack)
+ '''Given a list return it sorted.'''
+ tos, stack = S
+ return list_to_stack(sorted(iter_stack(tos))), stack
@inscribe
@SimpleFunctionWrapper
def clear(stack):
- '''Clear everything from the stack.
-
- ... clear
- ---------------
-
- '''
- return ()
-
-
-@inscribe
-@SimpleFunctionWrapper
-def dup(S):
- '''Duplicate the top item on the stack.'''
- (tos, stack) = S
- return tos, (tos, stack)
-
-
-@inscribe
-@SimpleFunctionWrapper
-def over(S):
- '''
- Copy the second item down on the stack to the top of the stack.
-
- a b over
- --------------
- a b a
+ '''Clear everything from the stack.
+ ::
- '''
- second = S[1][0]
- return second, S
+ clear == stack [pop stack] loop
+ ... clear
+ ---------------
-@inscribe
-@SimpleFunctionWrapper
-def tuck(S):
- '''
- Copy the item at TOS under the second item of the stack.
-
- a b tuck
- --------------
- b a b
-
- '''
- (tos, (second, stack)) = S
- return tos, (second, (tos, stack))
-
-
-@inscribe
-@SimpleFunctionWrapper
-def swap(S):
- '''Swap the top two items on stack.'''
- (tos, (second, stack)) = S
- return second, (tos, stack)
-
-
-@inscribe
-@SimpleFunctionWrapper
-def swaack(stack):
- '''swap stack'''
- old_stack, stack = stack
- return stack, old_stack
-
-
-@inscribe
-@SimpleFunctionWrapper
-def stack_(stack):
- '''
- The stack operator pushes onto the stack a list containing all the
- elements of the stack.
- '''
- return stack, stack
-
-
-@inscribe
-@SimpleFunctionWrapper
-def unstack(stack):
- '''
- The unstack operator expects a list on top of the stack and makes that
- the stack discarding the rest of the stack.
- '''
- return stack[0]
-
-
-@inscribe
-@SimpleFunctionWrapper
-def pop(stack):
- '''Pop and discard the top item from the stack.'''
- return stack[1]
+ '''
+ return ()
@inscribe
@SimpleFunctionWrapper
-def popd(stack):
- '''Pop and discard the second item from the stack.'''
- (tos, (_, stack)) = stack
- return tos, stack
+def disenstacken(stack):
+ '''
+ The disenstacken operator expects a list on top of the stack and makes that
+ the stack discarding the rest of the stack.
+ '''
+ return stack[0]
@inscribe
@SimpleFunctionWrapper
-def popdd(stack):
- '''Pop and discard the third item from the stack.'''
- (tos, (second, (_, stack))) = stack
- return tos, (second, stack)
-
+def reverse(S):
+ '''
+ Reverse the list on the top of the stack.
+ ::
-@inscribe
-@SimpleFunctionWrapper
-def popop(stack):
- '''Pop and discard the first and second items from the stack.'''
- return stack[1][1]
+ reverse == [] swap shunt
+ '''
+ (tos, stack) = S
+ res = ()
+ for term in iter_stack(tos):
+ res = term, res
+ return res, stack
@inscribe
@SimpleFunctionWrapper
-def dupd(S):
- '''Duplicate the second item on the stack.'''
- (tos, (second, stack)) = S
- return tos, (second, (second, stack))
-
+def concat_(S):
+ '''
+ Concatinate the two lists on the top of the stack.
+ ::
-@inscribe
-@SimpleFunctionWrapper
-def reverse(S):
- '''Reverse the list on the top of the stack.
+ [a b c] [d e f] concat
+ ----------------------------
+ [a b c d e f]
- reverse == [] swap shunt
- '''
- (tos, stack) = S
- res = ()
- for term in iter_stack(tos):
- res = term, res
- return res, stack
+ '''
+ (tos, (second, stack)) = S
+ return concat(second, tos), stack
@inscribe
@SimpleFunctionWrapper
-def concat(S):
- '''Concatinate the two lists on the top of the stack.'''
- (tos, (second, stack)) = S
- for term in reversed(list(iter_stack(second))):
- tos = term, tos
- return tos, stack
+def shunt(stack):
+ '''
+ Like concat but reverses the top list into the second.
+ ::
+ shunt == [swons] step == reverse swap concat
-@inscribe
-@SimpleFunctionWrapper
-def shunt((tos, (second, stack))):
- '''
- shunt == [swons] step
+ [a b c] [d e f] shunt
+ ---------------------------
+ [f e d a b c]
- Like concat but reverses the top list into the second.
- '''
- while tos:
- term, tos = tos
- second = term, second
- return second, stack
+ '''
+ (tos, (second, stack)) = stack
+ while tos:
+ term, tos = tos
+ second = term, second
+ return second, stack
@inscribe
@SimpleFunctionWrapper
def zip_(S):
- '''
- Replace the two lists on the top of the stack with a list of the pairs
- from each list. The smallest list sets the length of the result list.
- '''
- (tos, (second, stack)) = S
- accumulator = [
- (a, (b, ()))
- for a, b in zip(iter_stack(tos), iter_stack(second))
- ]
- return list_to_stack(accumulator), stack
+ '''
+ Replace the two lists on the top of the stack with a list of the pairs
+ from each list. The smallest list sets the length of the result list.
+ '''
+ (tos, (second, stack)) = S
+ accumulator = [
+ (a, (b, ()))
+ for a, b in zip(iter_stack(tos), iter_stack(second))
+ ]
+ return list_to_stack(accumulator), stack
@inscribe
@SimpleFunctionWrapper
def succ(S):
- '''Increment TOS.'''
- (tos, stack) = S
- return tos + 1, stack
+ '''Increment TOS.'''
+ (tos, stack) = S
+ return tos + 1, stack
@inscribe
@SimpleFunctionWrapper
def pred(S):
- '''Decrement TOS.'''
- (tos, stack) = S
- return tos - 1, stack
+ '''Decrement TOS.'''
+ (tos, stack) = S
+ return tos - 1, stack
@inscribe
@SimpleFunctionWrapper
def pm(stack):
- '''
- Plus or minus
+ '''
+ Plus or minus
+ ::
- a b pm
- -------------
- a+b a-b
+ a b pm
+ -------------
+ a+b a-b
- '''
- a, (b, stack) = stack
- p, m, = b + a, b - a
- return m, (p, stack)
+ '''
+ a, (b, stack) = stack
+ p, m, = b + a, b - a
+ return m, (p, stack)
def floor(n):
- return int(math.floor(n))
+ return int(math.floor(n))
floor.__doc__ = math.floor.__doc__
@inscribe
@SimpleFunctionWrapper
def divmod_(S):
- a, (b, stack) = S
- d, m = divmod(a, b)
- return d, (m, stack)
+ '''
+ divmod(x, y) -> (quotient, remainder)
-divmod_.__doc__ = divmod.__doc__
+ Return the tuple (x//y, x%y). Invariant: q * y + r == x.
+ '''
+ a, (b, stack) = S
+ d, m = divmod(a, b)
+ return d, (m, stack)
def sqrt(a):
- '''
- Return the square root of the number a.
- Negative numbers return complex roots.
- '''
- try:
- r = math.sqrt(a)
- except ValueError:
- assert a < 0, repr(a)
- r = math.sqrt(-a) * 1j
- return r
-
-
-@inscribe
-@SimpleFunctionWrapper
-def rollup(S):
- '''a b c -> b c a'''
- (a, (b, (c, stack))) = S
- return b, (c, (a, stack))
-
-
-@inscribe
-@SimpleFunctionWrapper
-def rolldown(S):
- '''a b c -> c a b'''
- (a, (b, (c, stack))) = S
- return c, (a, (b, stack))
+ '''
+ Return the square root of the number a.
+ Negative numbers return complex roots.
+ '''
+ try:
+ r = math.sqrt(a)
+ except ValueError:
+ assert a < 0, repr(a)
+ r = math.sqrt(-a) * 1j
+ return r
#def execute(S):
@inscribe
@SimpleFunctionWrapper
def id_(stack):
- return stack
+ '''The identity function.'''
+ return stack
@inscribe
@SimpleFunctionWrapper
def void(stack):
- form, stack = stack
- return _void(form), stack
+ '''True if the form on TOS is void otherwise False.'''
+ form, stack = stack
+ return _void(form), stack
def _void(form):
- return any(not _void(i) for i in iter_stack(form))
+ return any(not _void(i) for i in iter_stack(form))
@inscribe
@FunctionWrapper
def words(stack, expression, dictionary):
- '''Print all the words in alphabetical order.'''
- print(' '.join(sorted(dictionary)))
- return stack, expression, dictionary
+ '''Print all the words in alphabetical order.'''
+ print(' '.join(sorted(dictionary)))
+ return stack, expression, dictionary
@inscribe
@FunctionWrapper
def sharing(stack, expression, dictionary):
- '''Print redistribution information.'''
- print("You may convey verbatim copies of the Program's source code as"
- ' you receive it, in any medium, provided that you conspicuously'
- ' and appropriately publish on each copy an appropriate copyright'
- ' notice; keep intact all notices stating that this License and'
- ' any non-permissive terms added in accord with section 7 apply'
- ' to the code; keep intact all notices of the absence of any'
- ' warranty; and give all recipients a copy of this License along'
- ' with the Program.'
- ' You should have received a copy of the GNU General Public License'
- ' along with Joypy. If not see <http://www.gnu.org/licenses/>.')
- return stack, expression, dictionary
+ '''Print redistribution information.'''
+ print("You may convey verbatim copies of the Program's source code as"
+ ' you receive it, in any medium, provided that you conspicuously'
+ ' and appropriately publish on each copy an appropriate copyright'
+ ' notice; keep intact all notices stating that this License and'
+ ' any non-permissive terms added in accord with section 7 apply'
+ ' to the code; keep intact all notices of the absence of any'
+ ' warranty; and give all recipients a copy of this License along'
+ ' with the Program.'
+ ' You should have received a copy of the GNU General Public License'
+ ' along with Thun. If not see <http://www.gnu.org/licenses/>.')
+ return stack, expression, dictionary
@inscribe
@FunctionWrapper
def warranty(stack, expression, dictionary):
- '''Print warranty information.'''
- print('THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY'
- ' APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE'
- ' COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM'
- ' "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR'
- ' IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES'
- ' OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE'
- ' ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS'
- ' WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE'
- ' COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.')
- return stack, expression, dictionary
+ '''Print warranty information.'''
+ print('THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY'
+ ' APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE'
+ ' COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM'
+ ' "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR'
+ ' IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES'
+ ' OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE'
+ ' ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS'
+ ' WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE'
+ ' COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.')
+ return stack, expression, dictionary
# def simple_manual(stack):
@inscribe
@FunctionWrapper
def help_(S, expression, dictionary):
- '''Accepts a quoted symbol on the top of the stack and prints its docs.'''
- ((symbol, _), stack) = S
- word = dictionary[symbol]
- print(getdoc(word))
- return stack, expression, dictionary
+ '''Accepts a quoted symbol on the top of the stack and prints its docs.'''
+ ((symbol, _), stack) = S
+ word = dictionary[symbol]
+ print(HELP_TEMPLATE % (symbol, getdoc(word), symbol))
+ return stack, expression, dictionary
#
# could change the word in the dictionary to use different semantics.
S_choice = Symbol('choice')
S_first = Symbol('first')
-S_getitem = Symbol('getitem')
S_genrec = Symbol('genrec')
-S_loop = Symbol('loop')
+S_getitem = Symbol('getitem')
S_i = Symbol('i')
S_ifte = Symbol('ifte')
S_infra = Symbol('infra')
+S_loop = Symbol('loop')
+S_pop = Symbol('pop')
+S_primrec = Symbol('primrec')
S_step = Symbol('step')
-S_times = Symbol('times')
S_swaack = Symbol('swaack')
-S_truthy = Symbol('truthy')
+S_times = Symbol('times')
@inscribe
@FunctionWrapper
def i(stack, expression, dictionary):
- '''
- The i combinator expects a quoted program on the stack and unpacks it
- onto the pending expression for evaluation.
+ '''
+ The i combinator expects a quoted program on the stack and unpacks it
+ onto the pending expression for evaluation.
+ ::
- [Q] i
- -----------
- Q
+ [Q] i
+ -----------
+ Q
- '''
- quote, stack = stack
- return stack, pushback(quote, expression), dictionary
+ '''
+ try:
+ quote, stack = stack
+ except ValueError:
+ raise StackUnderflowError('Not enough values on stack.')
+ return stack, concat(quote, expression), dictionary
@inscribe
@FunctionWrapper
def x(stack, expression, dictionary):
- '''
- x == dup i
+ '''
+ ::
+
+ x == dup i
- ... [Q] x = ... [Q] dup i
- ... [Q] x = ... [Q] [Q] i
- ... [Q] x = ... [Q] Q
+ ... [Q] x = ... [Q] dup i
+ ... [Q] x = ... [Q] [Q] i
+ ... [Q] x = ... [Q] Q
- '''
- quote, _ = stack
- return stack, pushback(quote, expression), dictionary
+ '''
+ quote, _ = stack
+ return stack, concat(quote, expression), dictionary
@inscribe
@FunctionWrapper
def b(stack, expression, dictionary):
- '''
- b == [i] dip i
+ '''
+ ::
- ... [P] [Q] b == ... [P] i [Q] i
- ... [P] [Q] b == ... P Q
+ b == [i] dip i
- '''
- q, (p, (stack)) = stack
- return stack, pushback(p, pushback(q, expression)), dictionary
+ ... [P] [Q] b == ... [P] i [Q] i
+ ... [P] [Q] b == ... P Q
+
+ '''
+ q, (p, (stack)) = stack
+ return stack, concat(p, concat(q, expression)), dictionary
+
+
+@inscribe
+@FunctionWrapper
+def ii(stack, expression, dictionary):
+ '''
+ ::
+
+ ... a [Q] ii
+ ------------------
+ ... Q a Q
+
+ '''
+ quote, (a, stack) = stack
+ expression = concat(quote, (a, concat(quote, expression)))
+ return stack, expression, dictionary
@inscribe
@FunctionWrapper
def dupdip(stack, expression, dictionary):
- '''
- [F] dupdip == dup [F] dip
+ '''
+ ::
- ... a [F] dupdip
- ... a dup [F] dip
- ... a a [F] dip
- ... a F a
+ [F] dupdip == dup [F] dip
- '''
- F, stack = stack
- a = stack[0]
- return stack, pushback(F, (a, expression)), dictionary
+ ... a [F] dupdip
+ ... a dup [F] dip
+ ... a a [F] dip
+ ... a F a
+
+ '''
+ F, stack = stack
+ a = stack[0]
+ return stack, concat(F, (a, expression)), dictionary
@inscribe
@FunctionWrapper
def infra(stack, expression, dictionary):
- '''
- Accept a quoted program and a list on the stack and run the program
- with the list as its stack.
+ '''
+ Accept a quoted program and a list on the stack and run the program
+ with the list as its stack. Does not affect the rest of the stack.
+ ::
- ... [a b c] [Q] . infra
- -----------------------------
- c b a . Q [...] swaack
+ ... [a b c] [Q] . infra
+ -----------------------------
+ c b a . Q [...] swaack
- '''
- (quote, (aggregate, stack)) = stack
- return aggregate, pushback(quote, (stack, (S_swaack, expression))), dictionary
+ '''
+ (quote, (aggregate, stack)) = stack
+ return aggregate, concat(quote, (stack, (S_swaack, expression))), dictionary
@inscribe
@FunctionWrapper
def genrec(stack, expression, dictionary):
- '''
- General Recursion Combinator.
+ '''
+ General Recursion Combinator.
+ ::
+
+ [if] [then] [rec1] [rec2] genrec
+ ---------------------------------------------------------------------
+ [if] [then] [rec1 [[if] [then] [rec1] [rec2] genrec] rec2] ifte
- [if] [then] [rec1] [rec2] genrec
- ---------------------------------------------------------------------
- [if] [then] [rec1 [[if] [then] [rec1] [rec2] genrec] rec2] ifte
+ From "Recursion Theory and Joy" (j05cmp.html) by Manfred von Thun:
+ "The genrec combinator takes four program parameters in addition to
+ whatever data parameters it needs. Fourth from the top is an if-part,
+ followed by a then-part. If the if-part yields true, then the then-part
+ is executed and the combinator terminates. The other two parameters are
+ the rec1-part and the rec2-part. If the if-part yields false, the
+ rec1-part is executed. Following that the four program parameters and
+ the combinator are again pushed onto the stack bundled up in a quoted
+ form. Then the rec2-part is executed, where it will find the bundled
+ form. Typically it will then execute the bundled form, either with i or
+ with app2, or some other combinator."
- From "Recursion Theory and Joy" (j05cmp.html) by Manfred von Thun:
- "The genrec combinator takes four program parameters in addition to
- whatever data parameters it needs. Fourth from the top is an if-part,
- followed by a then-part. If the if-part yields true, then the then-part
- is executed and the combinator terminates. The other two parameters are
- the rec1-part and the rec2-part. If the if-part yields false, the
- rec1-part is executed. Following that the four program parameters and
- the combinator are again pushed onto the stack bundled up in a quoted
- form. Then the rec2-part is executed, where it will find the bundled
- form. Typically it will then execute the bundled form, either with i or
- with app2, or some other combinator."
+ The way to design one of these is to fix your base case [then] and the
+ test [if], and then treat rec1 and rec2 as an else-part "sandwiching"
+ a quotation of the whole function.
- The way to design one of these is to fix your base case [then] and the
- test [if], and then treat rec1 and rec2 as an else-part "sandwiching"
- a quotation of the whole function.
+ For example, given a (general recursive) function 'F':
+ ::
- For example, given a (general recursive) function 'F':
+ F == [I] [T] [R1] [R2] genrec
- F == [I] [T] [R1] [R2] genrec
+ If the [I] if-part fails you must derive R1 and R2 from:
+ ::
- If the [I] if-part fails you must derive R1 and R2 from:
+ ... R1 [F] R2
- ... R1 [F] R2
+ Just set the stack arguments in front, and figure out what R1 and R2
+ have to do to apply the quoted [F] in the proper way. In effect, the
+ genrec combinator turns into an ifte combinator with a quoted copy of
+ the original definition in the else-part:
+ ::
- Just set the stack arguments in front, and figure out what R1 and R2
- have to do to apply the quoted [F] in the proper way. In effect, the
- genrec combinator turns into an ifte combinator with a quoted copy of
- the original definition in the else-part:
+ F == [I] [T] [R1] [R2] genrec
+ == [I] [T] [R1 [F] R2] ifte
- F == [I] [T] [R1] [R2] genrec
- == [I] [T] [R1 [F] R2] ifte
+ Primitive recursive functions are those where R2 == i.
+ ::
- (Primitive recursive functions are those where R2 == i.
+ P == [I] [T] [R] tailrec
+ == [I] [T] [R [P] i] ifte
+ == [I] [T] [R P] ifte
- P == [I] [T] [R] primrec
- == [I] [T] [R [P] i] ifte
- == [I] [T] [R P] ifte
- )
- '''
- (rec2, (rec1, stack)) = stack
- (then, (if_, _)) = stack
- F = (if_, (then, (rec1, (rec2, (S_genrec, ())))))
- else_ = pushback(rec1, (F, rec2))
- return (else_, stack), (S_ifte, expression), dictionary
+ '''
+ (rec2, (rec1, stack)) = stack
+ (then, (if_, _)) = stack
+ F = (if_, (then, (rec1, (rec2, (S_genrec, ())))))
+ else_ = concat(rec1, (F, rec2))
+ return (else_, stack), (S_ifte, expression), dictionary
@inscribe
@FunctionWrapper
def map_(S, expression, dictionary):
- '''
- Run the quoted program on TOS on the items in the list under it, push a
- new list with the results (in place of the program and original list.
- '''
-# (quote, (aggregate, stack)) = S
-# results = list_to_stack([
-# joy((term, stack), quote, dictionary)[0][0]
-# for term in iter_stack(aggregate)
-# ])
-# return (results, stack), expression, dictionary
- (quote, (aggregate, stack)) = S
- if not aggregate:
- return (aggregate, stack), expression, dictionary
- batch = ()
- for term in iter_stack(aggregate):
- s = term, stack
- batch = (s, (quote, (S_infra, (S_first, batch))))
- stack = (batch, ((), stack))
- return stack, (S_infra, expression), dictionary
+ '''
+ Run the quoted program on TOS on the items in the list under it, push a
+ new list with the results in place of the program and original list.
+ '''
+ # (quote, (aggregate, stack)) = S
+ # results = list_to_stack([
+ # joy((term, stack), quote, dictionary)[0][0]
+ # for term in iter_stack(aggregate)
+ # ])
+ # return (results, stack), expression, dictionary
+ (quote, (aggregate, stack)) = S
+ if not aggregate:
+ return (aggregate, stack), expression, dictionary
+ batch = ()
+ for term in iter_stack(aggregate):
+ s = term, stack
+ batch = (s, (quote, (S_infra, (S_first, batch))))
+ stack = (batch, ((), stack))
+ return stack, (S_infra, expression), dictionary
+
+
+@inscribe
+@FunctionWrapper
+def primrec(stack, expression, dictionary):
+ '''
+ From the "Overview of the language JOY":
+
+ > The primrec combinator expects two quoted programs in addition to a
+ data parameter. For an integer data parameter it works like this: If
+ the data parameter is zero, then the first quotation has to produce
+ the value to be returned. If the data parameter is positive then the
+ second has to combine the data parameter with the result of applying
+ the function to its predecessor.::
+
+ 5 [1] [*] primrec
+
+ > Then primrec tests whether the top element on the stack (initially
+ the 5) is equal to zero. If it is, it pops it off and executes one of
+ the quotations, the [1] which leaves 1 on the stack as the result.
+ Otherwise it pushes a decremented copy of the top element and
+ recurses. On the way back from the recursion it uses the other
+ quotation, [*], to multiply what is now a factorial on top of the
+ stack by the second element on the stack.::
+
+ n [Base] [Recur] primrec
+
+ 0 [Base] [Recur] primrec
+ ------------------------------
+ Base
+
+ n [Base] [Recur] primrec
+ ------------------------------------------ n > 0
+ n (n-1) [Base] [Recur] primrec Recur
+
+ '''
+ recur, (base, (n, stack)) = stack
+ if n <= 0:
+ expression = concat(base, expression)
+ else:
+ expression = S_primrec, concat(recur, expression)
+ stack = recur, (base, (n - 1, (n, stack)))
+ return stack, expression, dictionary
#def cleave(S, expression, dictionary):
@inscribe
@FunctionWrapper
def branch(stack, expression, dictionary):
- '''
- Use a Boolean value to select one of two quoted programs to run.
+ '''
+ Use a Boolean value to select one of two quoted programs to run.
- branch == roll< choice i
+ ::
+ branch == roll< choice i
- False [F] [T] branch
- --------------------------
- F
+ ::
- True [F] [T] branch
- -------------------------
- T
+ False [F] [T] branch
+ --------------------------
+ F
- '''
- (then, (else_, (flag, stack))) = stack
- return stack, pushback(then if flag else else_, expression), dictionary
+ True [F] [T] branch
+ -------------------------
+ T
+
+ '''
+ (then, (else_, (flag, stack))) = stack
+ return stack, concat(then if flag else else_, expression), dictionary
+
+
+##@inscribe
+##@FunctionWrapper
+##def ifte(stack, expression, dictionary):
+## '''
+## If-Then-Else Combinator
+## ::
+##
+## ... [if] [then] [else] ifte
+## ---------------------------------------------------
+## ... [[else] [then]] [...] [if] infra select i
+##
+##
+##
+##
+## ... [if] [then] [else] ifte
+## -------------------------------------------------------
+## ... [else] [then] [...] [if] infra first choice i
+##
+##
+## Has the effect of grabbing a copy of the stack on which to run the
+## if-part using infra.
+## '''
+## (else_, (then, (if_, stack))) = stack
+## expression = (S_infra, (S_first, (S_choice, (S_i, expression))))
+## stack = (if_, (stack, (then, (else_, stack))))
+## return stack, expression, dictionary
@inscribe
@FunctionWrapper
-def ifte(stack, expression, dictionary):
- '''
- If-Then-Else Combinator
-
- ... [if] [then] [else] ifte
- ---------------------------------------------------
- ... [[else] [then]] [...] [if] infra select i
-
+def cond(stack, expression, dictionary):
+ '''
+ This combinator works like a case statement. It expects a single quote
+ on the stack that must contain zero or more condition quotes and a
+ default quote. Each condition clause should contain a quoted predicate
+ followed by the function expression to run if that predicate returns
+ true. If no predicates return true the default function runs.
+ It works by rewriting into a chain of nested `ifte` expressions, e.g.::
+ [[[B0] T0] [[B1] T1] [D]] cond
+ -----------------------------------------
+ [B0] [T0] [[B1] [T1] [D] ifte] ifte
- ... [if] [then] [else] ifte
- -------------------------------------------------------
- ... [else] [then] [...] [if] infra first choice i
+ '''
+ conditions, stack = stack
+ if conditions:
+ expression = _cond(conditions, expression)
+ try:
+ # Attempt to preload the args to first ifte.
+ (P, (T, (E, expression))) = expression
+ except ValueError:
+ # If, for any reason, the argument to cond should happen to contain
+ # only the default clause then this optimization will fail.
+ pass
+ else:
+ stack = (E, (T, (P, stack)))
+ return stack, expression, dictionary
- Has the effect of grabbing a copy of the stack on which to run the
- if-part using infra.
- '''
- (else_, (then, (if_, stack))) = stack
- expression = (S_infra, (S_first, (S_choice, (S_i, expression))))
- stack = (if_, (stack, (then, (else_, stack))))
- return stack, expression, dictionary
+def _cond(conditions, expression):
+ (clause, rest) = conditions
+ if not rest: # clause is [D]
+ return clause
+ P, T = clause
+ return (P, (T, (_cond(rest, ()), (S_ifte, expression))))
@inscribe
@FunctionWrapper
def dip(stack, expression, dictionary):
- '''
- The dip combinator expects a quoted program on the stack and below it
- some item, it hoists the item into the expression and runs the program
- on the rest of the stack.
+ '''
+ The dip combinator expects a quoted program on the stack and below it
+ some item, it hoists the item into the expression and runs the program
+ on the rest of the stack.
+ ::
- ... x [Q] dip
- -------------------
- ... Q x
+ ... x [Q] dip
+ -------------------
+ ... Q x
- '''
- (quote, (x, stack)) = stack
- expression = (x, expression)
- return stack, pushback(quote, expression), dictionary
+ '''
+ try:
+ (quote, (x, stack)) = stack
+ except ValueError:
+ raise StackUnderflowError('Not enough values on stack.')
+ expression = (x, expression)
+ return stack, concat(quote, expression), dictionary
@inscribe
@FunctionWrapper
def dipd(S, expression, dictionary):
- '''
- Like dip but expects two items.
+ '''
+ Like dip but expects two items.
+ ::
- ... y x [Q] dip
- ---------------------
- ... Q y x
+ ... y x [Q] dip
+ ---------------------
+ ... Q y x
- '''
- (quote, (x, (y, stack))) = S
- expression = (y, (x, expression))
- return stack, pushback(quote, expression), dictionary
+ '''
+ (quote, (x, (y, stack))) = S
+ expression = (y, (x, expression))
+ return stack, concat(quote, expression), dictionary
@inscribe
@FunctionWrapper
def dipdd(S, expression, dictionary):
- '''
- Like dip but expects three items.
+ '''
+ Like dip but expects three items.
+ ::
- ... z y x [Q] dip
- -----------------------
- ... Q z y x
+ ... z y x [Q] dip
+ -----------------------
+ ... Q z y x
- '''
- (quote, (x, (y, (z, stack)))) = S
- expression = (z, (y, (x, expression)))
- return stack, pushback(quote, expression), dictionary
+ '''
+ (quote, (x, (y, (z, stack)))) = S
+ expression = (z, (y, (x, expression)))
+ return stack, concat(quote, expression), dictionary
@inscribe
@FunctionWrapper
def app1(S, expression, dictionary):
- '''
- Given a quoted program on TOS and anything as the second stack item run
- the program and replace the two args with the first result of the
- program.
+ '''
+ Given a quoted program on TOS and anything as the second stack item run
+ the program and replace the two args with the first result of the
+ program.
+ ::
+
+ ... x [Q] . app1
+ -----------------------------------
+ ... [x ...] [Q] . infra first
- ... x [Q] . app1
- -----------------------------------
- ... [x ...] [Q] . infra first
- '''
- (quote, (x, stack)) = S
- stack = (quote, ((x, stack), stack))
- expression = (S_infra, (S_first, expression))
- return stack, expression, dictionary
+ '''
+ (quote, (x, stack)) = S
+ stack = (quote, ((x, stack), stack))
+ expression = (S_infra, (S_first, expression))
+ return stack, expression, dictionary
@inscribe
@FunctionWrapper
def app2(S, expression, dictionary):
- '''Like app1 with two items.
+ '''Like app1 with two items.
+ ::
- ... y x [Q] . app2
- -----------------------------------
- ... [y ...] [Q] . infra first
- [x ...] [Q] infra first
+ ... y x [Q] . app2
+ -----------------------------------
+ ... [y ...] [Q] . infra first
+ [x ...] [Q] infra first
- '''
- (quote, (x, (y, stack))) = S
- expression = (S_infra, (S_first,
- ((x, stack), (quote, (S_infra, (S_first,
- expression))))))
- stack = (quote, ((y, stack), stack))
- return stack, expression, dictionary
+ '''
+ (quote, (x, (y, stack))) = S
+ expression = (S_infra, (S_first,
+ ((x, stack), (quote, (S_infra, (S_first,
+ expression))))))
+ stack = (quote, ((y, stack), stack))
+ return stack, expression, dictionary
@inscribe
@FunctionWrapper
def app3(S, expression, dictionary):
- '''Like app1 with three items.
+ '''Like app1 with three items.
+ ::
- ... z y x [Q] . app3
- -----------------------------------
- ... [z ...] [Q] . infra first
- [y ...] [Q] infra first
- [x ...] [Q] infra first
+ ... z y x [Q] . app3
+ -----------------------------------
+ ... [z ...] [Q] . infra first
+ [y ...] [Q] infra first
+ [x ...] [Q] infra first
- '''
- (quote, (x, (y, (z, stack)))) = S
- expression = (S_infra, (S_first,
- ((y, stack), (quote, (S_infra, (S_first,
- ((x, stack), (quote, (S_infra, (S_first,
- expression))))))))))
- stack = (quote, ((z, stack), stack))
- return stack, expression, dictionary
+ '''
+ (quote, (x, (y, (z, stack)))) = S
+ expression = (S_infra, (S_first,
+ ((y, stack), (quote, (S_infra, (S_first,
+ ((x, stack), (quote, (S_infra, (S_first,
+ expression))))))))))
+ stack = (quote, ((z, stack), stack))
+ return stack, expression, dictionary
@inscribe
@FunctionWrapper
def step(S, expression, dictionary):
- '''
- Run a quoted program on each item in a sequence.
+ '''
+ Run a quoted program on each item in a sequence.
+ ::
- ... [] [Q] . step
- -----------------------
- ... .
+ ... [] [Q] . step
+ -----------------------
+ ... .
- ... [a] [Q] . step
- ------------------------
- ... a . Q
+ ... [a] [Q] . step
+ ------------------------
+ ... a . Q
- ... [a b c] [Q] . step
- ----------------------------------------
- ... a . Q [b c] [Q] step
+ ... [a b c] [Q] . step
+ ----------------------------------------
+ ... a . Q [b c] [Q] step
- The step combinator executes the quotation on each member of the list
- on top of the stack.
- '''
- (quote, (aggregate, stack)) = S
- if not aggregate:
+ The step combinator executes the quotation on each member of the list
+ on top of the stack.
+ '''
+ (quote, (aggregate, stack)) = S
+ if not aggregate:
+ return stack, expression, dictionary
+ head, tail = aggregate
+ stack = quote, (head, stack)
+ if tail:
+ expression = tail, (quote, (S_step, expression))
+ expression = S_i, expression
return stack, expression, dictionary
- head, tail = aggregate
- stack = quote, (head, stack)
- if tail:
- expression = tail, (quote, (S_step, expression))
- expression = S_i, expression
- return stack, expression, dictionary
@inscribe
@FunctionWrapper
def times(stack, expression, dictionary):
- '''
- times == [-- dip] cons [swap] infra [0 >] swap while pop
+ '''
+ times == [-- dip] cons [swap] infra [0 >] swap while pop
+ ::
- ... n [Q] . times
- --------------------- w/ n <= 0
- ... .
+ ... n [Q] . times
+ --------------------- w/ n <= 0
+ ... .
- ... 1 [Q] . times
- ---------------------------------
- ... . Q
+ ... 1 [Q] . times
+ -----------------------
+ ... . Q
- ... n [Q] . times
- --------------------------------- w/ n > 1
- ... . Q (n - 1) [Q] times
+ ... n [Q] . times
+ ------------------------------------- w/ n > 1
+ ... . Q (n - 1) [Q] times
- '''
- # times == [-- dip] cons [swap] infra [0 >] swap while pop
- (quote, (n, stack)) = stack
- if n <= 0:
+ '''
+ # times == [-- dip] cons [swap] infra [0 >] swap while pop
+ (quote, (n, stack)) = stack
+ if n <= 0:
+ return stack, expression, dictionary
+ n -= 1
+ if n:
+ expression = n, (quote, (S_times, expression))
+ expression = concat(quote, expression)
return stack, expression, dictionary
- n -= 1
- if n:
- expression = n, (quote, (S_times, expression))
- expression = pushback(quote, expression)
- return stack, expression, dictionary
# The current definition above works like this:
# --------------------------------------
# [P] nullary [Q [P] nullary] loop
-# while == [pop i not] [popop] [dudipd] primrec
+# while == [pop i not] [popop] [dudipd] tailrec
#def while_(S, expression, dictionary):
# '''[if] [body] while'''
@inscribe
@FunctionWrapper
def loop(stack, expression, dictionary):
- '''
- Basic loop combinator.
+ '''
+ Basic loop combinator.
+ ::
- ... True [Q] loop
- -----------------------
- ... Q [Q] loop
+ ... True [Q] loop
+ -----------------------
+ ... Q [Q] loop
- ... False [Q] loop
- ------------------------
- ...
+ ... False [Q] loop
+ ------------------------
+ ...
- '''
- quote, (flag, stack) = stack
- if flag:
- expression = pushback(quote, (quote, (S_loop, expression)))
- return stack, expression, dictionary
+ '''
+ try:
+ quote, stack = stack
+ except ValueError:
+ raise StackUnderflowError('Not enough values on stack.')
+ if not isinstance(quote, tuple):
+ raise NotAListError('Loop body not a list.')
+ try:
+ (flag, stack) = stack
+ except ValueError:
+ raise StackUnderflowError('Not enough values on stack.')
+ if flag:
+ expression = concat(quote, (quote, (S_loop, expression)))
+ return stack, expression, dictionary
-#def nullary(S, expression, dictionary):
-# '''
-# Run the program on TOS and return its first result without consuming
-# any of the stack (except the program on TOS.)
-# '''
-# (quote, stack) = S
-# result = joy(stack, quote, dictionary)
-# return (result[0][0], stack), expression, dictionary
-#
-#
-#def unary(S, expression, dictionary):
-# (quote, stack) = S
-# _, return_stack = stack
-# result = joy(stack, quote, dictionary)[0]
-# return (result[0], return_stack), expression, dictionary
-#
-#
-#def binary(S, expression, dictionary):
-# (quote, stack) = S
-# _, (_, return_stack) = stack
-# result = joy(stack, quote, dictionary)[0]
-# return (result[0], return_stack), expression, dictionary
-#
-#
-#def ternary(S, expression, dictionary):
-# (quote, stack) = S
-# _, (_, (_, return_stack)) = stack
-# result = joy(stack, quote, dictionary)[0]
-# return (result[0], return_stack), expression, dictionary
+@inscribe
+@FunctionWrapper
+def cmp_(stack, expression, dictionary):
+ '''
+ cmp takes two values and three quoted programs on the stack and runs
+ one of the three depending on the results of comparing the two values:
+ ::
+
+ a b [G] [E] [L] cmp
+ ------------------------- a > b
+ G
+
+ a b [G] [E] [L] cmp
+ ------------------------- a = b
+ E
+
+ a b [G] [E] [L] cmp
+ ------------------------- a < b
+ L
+ '''
+ L, (E, (G, (b, (a, stack)))) = stack
+ expression = concat(G if a > b else L if a < b else E, expression)
+ return stack, expression, dictionary
-# FunctionWrapper(binary),
# FunctionWrapper(cleave),
-# FunctionWrapper(nullary),
-# FunctionWrapper(ternary),
-# FunctionWrapper(unary),
# FunctionWrapper(while_),
for F in (
- BinaryBuiltinWrapper(operator.add),
- BinaryBuiltinWrapper(operator.and_),
- BinaryBuiltinWrapper(operator.div),
- BinaryBuiltinWrapper(operator.eq),
- BinaryBuiltinWrapper(operator.floordiv),
- BinaryBuiltinWrapper(operator.ge),
- BinaryBuiltinWrapper(operator.gt),
- BinaryBuiltinWrapper(operator.le),
- BinaryBuiltinWrapper(operator.lshift),
- BinaryBuiltinWrapper(operator.lt),
- BinaryBuiltinWrapper(operator.mod),
- BinaryBuiltinWrapper(operator.mul),
- BinaryBuiltinWrapper(operator.ne),
- BinaryBuiltinWrapper(operator.or_),
- BinaryBuiltinWrapper(operator.pow),
- BinaryBuiltinWrapper(operator.rshift),
- BinaryBuiltinWrapper(operator.sub),
- BinaryBuiltinWrapper(operator.truediv),
- BinaryBuiltinWrapper(operator.xor),
-
- UnaryBuiltinWrapper(abs),
- UnaryBuiltinWrapper(bool),
- UnaryBuiltinWrapper(floor),
- UnaryBuiltinWrapper(operator.neg),
- UnaryBuiltinWrapper(operator.not_),
- UnaryBuiltinWrapper(sqrt),
- ):
- inscribe(F)
-
-
-add_aliases(_dictionary)
-
-
-DefinitionWrapper.add_definitions(definitions, _dictionary)
+
+ #divmod_ = pm = __(n2, n1), __(n4, n3)
+
+ BinaryBuiltinWrapper(operator.eq),
+ BinaryBuiltinWrapper(operator.ge),
+ BinaryBuiltinWrapper(operator.gt),
+ BinaryBuiltinWrapper(operator.le),
+ BinaryBuiltinWrapper(operator.lt),
+ BinaryBuiltinWrapper(operator.ne),
+
+ BinaryBuiltinWrapper(operator.xor),
+ BinaryBuiltinWrapper(operator.lshift),
+ BinaryBuiltinWrapper(operator.rshift),
+
+ BinaryBuiltinWrapper(operator.and_),
+ BinaryBuiltinWrapper(operator.or_),
+
+ BinaryBuiltinWrapper(operator.add),
+ BinaryBuiltinWrapper(operator.floordiv),
+ BinaryBuiltinWrapper(operator.mod),
+ BinaryBuiltinWrapper(operator.mul),
+ BinaryBuiltinWrapper(operator.pow),
+ BinaryBuiltinWrapper(operator.sub),
+## BinaryBuiltinWrapper(operator.truediv),
+
+ UnaryBuiltinWrapper(bool),
+ UnaryBuiltinWrapper(operator.not_),
+
+ UnaryBuiltinWrapper(abs),
+ UnaryBuiltinWrapper(operator.neg),
+ UnaryBuiltinWrapper(sqrt),
+
+ UnaryBuiltinWrapper(floor),
+ UnaryBuiltinWrapper(round),
+ ):
+ inscribe(F)
+del F # Otherwise Sphinx autodoc will pick it up.
+
+
+for name, primitive in getmembers(genlib, isfunction):
+ inscribe(SimpleFunctionWrapper(primitive))
+
+
+add_aliases(_dictionary, ALIASES)
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